Bring Bash profile for reporting context via Operating System Commands (OSC) into...

This script fails to comply with the spec it's designed to implement,
[UAPI.15 OSC 3008: Hierarchical Context
Signalling](https://uapi-group.org/specifications/specs/osc_context/),
and fails the correctly utilize the specs provided by
[POSIX.1-2024](https://pubs.opengroup.org/onlinepubs/9799919799.2024edition/mindex.html)
and [man 1
bash](https://www.man7.org/linux/man-pages//man1/bash.1.html); improve
compliance.

Changes are made in small atomic commits, with more detailed
descriptions of the work done in each message.